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Finding the Fourth Proportional to 672.50, 929.68 and 515.97

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Solution

The fourth proportional to 672.50, 929.68 and 515.97 is: 713.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.50 : 929.68 = 515.97 : x
  2. Step 2: Convert to fraction form
    672.50/929.68 = 515.97/x
  3. Step 3: Cross multiply
    672.50x = 929.68 × 515.97
  4. Step 4: Simplify right side
    672.50x = 479,685.70
  5. Step 5: Solve for x
    x = 479,685.70/672.50
  6. Step 6: Final answer
    x = 713.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.